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GCSE Maths · Practice Sheet 43

Sheet code: GCSE-MATHS-S43 · 20 questions

Name: ______________

Date: ______________

1.
Quantitative Aptitude
Find the simple interest on £22,000 at 10% per annum for 6 year(s).
Formula:Simple Interest
$SI = \dfrac{P\times R\times T}{100}$
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2.
Mathematics
Find the sum of the first 16 terms of an AP with first term 11 and common difference 7.
Formula:AP Sum of n Terms
$S_n = \dfrac{n}{2}\,[2a+(n-1)d]$
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3.
Quantitative Aptitude
In how many ways can 3 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 3.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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4.
Mathematics
Find the binomial coefficient C(7, 4) — the coefficient of x^4 in (1 + x)^7.
Formula:Binomial Coefficient
$\binom{n}{r} = \dfrac{n!}{r!\,(n-r)!}$
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5.
Quantitative Aptitude
In how many ways can 2 objects be chosen from 5 distinct objects? (Find ⁿᴄᵣ for n = 5, r = 2.)
Formula:Combinations
$^{n}C_{r} = \dfrac{n!}{r!\,(n-r)!}$
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6.
Mathematics
Find the distance between the points (-1, -8) and (-3, 4).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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7.
Quantitative Aptitude
In how many ways can 4 objects be arranged out of 7 distinct objects? (Find ⁿᴘᵣ for n = 7, r = 4.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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8.
Mathematics
Find the slope of the line through (5, 3) and (-3, -2).
Formula:Slope of a Line
$m = \dfrac{y_2-y_1}{x_2-x_1}$
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9.
Quantitative Aptitude
A vehicle covers 792 km in 9 hours. Find its average speed.
Formula:Speed, Distance & Time
$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$
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10.
Quantitative Aptitude
In how many ways can 2 objects be arranged out of 6 distinct objects? (Find ⁿᴘᵣ for n = 6, r = 2.)
Formula:Permutations
$^{n}P_{r} = \dfrac{n!}{(n-r)!}$
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11.
Quantitative Aptitude
Divide £1,176 between two people in the ratio 5:7. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
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12.
Mathematics
Find term number 7 of a geometric progression with first term 5 and common ratio 2.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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13.
Quantitative Aptitude
Find the HCF and LCM of 25 and 22.
Formula:LCM & HCF
$\text{LCM}\times\text{HCF} = a\times b$
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14.
Quantitative Aptitude
Two fair dice are rolled. What is the probability that the sum of the numbers is 5?
Formula:Probability (two dice)
$P = \dfrac{\text{favourable}}{\text{total}}$
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15.
Mathematics
In an arithmetic progression with first term 12 and common difference 9, find term number 23.
Formula:AP nth Term
$a_n = a + (n-1)d$
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16.
Mathematics
Evaluate ∫ from 2 to 5 of 1x^1 dx.
Formula:Definite Integral of a Power
$\int_{p}^{q} a x^{n}\,dx = \dfrac{a}{n+1}\big[x^{n+1}\big]_{p}^{q}$
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17.
Mathematics
Find the distance between the points (0, 2) and (-8, 0).
Formula:Distance Between Two Points
$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$
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18.
Quantitative Aptitude
The marked price of an item is £1,300. After a 10% discount, find the selling price.
Formula:Discount & Selling Price
$SP = MP\left(1-\dfrac{d}{100}\right)$
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19.
Quantitative Aptitude
Divide £814 between two people in the ratio 5:6. How much does each receive?
Formula:Sharing in a Ratio
$\text{Share} = \text{Total}\times\dfrac{\text{part}}{\text{sum of parts}}$
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20.
Mathematics
Find term number 6 of a geometric progression with first term 5 and common ratio 3.
Formula:GP nth Term
$a_n = a\,r^{\,n-1}$
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